Probability Inequalities for a Gladiator Game

Yosef Rinott, Marco Scarsini and Yaming Yu

Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem

Abstract: Based on a model introduced by Kaminsky, Luks, and Nelson (1984), we consider a zero-sum allocation game called the Gladiator Game, where two teams of gladiators engage in a sequence of one-to-one fights in which the probability of winning is a function of the gladiators' strengths. Each team's strategy consist the allocation of its total strength among its gladiators. We find the Nash equilibria of the game and compute its value. To do this, we study interesting majorization-type probability inequalities concerning linear combinations of Gamma random variables.

Keywords: Allocation game; Colonel Blotto game; David and Goliath; exponential distribution; Nash equilibrium; probability inequalities; unimodal distribution. (search for similar items in EconPapers)
Pages: 21 pages
Date: 2011-04-08
New Economics Papers: this item is included in nep-gth
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://ratio.huji.ac.il/sites/default/files/publications/dp571.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 404 Not Found (http://ratio.huji.ac.il/sites/default/files/publications/dp571.pdf [302 Moved Temporarily]--> https://ratio.huji.ac.il/sites/default/files/publications/dp571.pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:huj:dispap:dp571

Access Statistics for this paper

More papers in Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem Contact information at EDIRC.
Bibliographic data for series maintained by Michael Simkin ().